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Finding the Third Proportional to 65,202 and 103,635

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Solution

The third proportional to 65,202 and 103,635 is: 164,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,202 : 103,635 = 103,635 : x
  2. Step 2: Convert to fraction form
    65,202/103,635 = 103,635/x
  3. Step 3: Cross multiply
    65,202x = 103,635 × 103,635
  4. Step 4: Simplify right side
    65,202x = 10,740,213,225
  5. Step 5: Solve for x
    x = 10,740,213,225/65,202
  6. Step 6: Final answer
    x = 164,722.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.